We consider the Cauchy problem for linearly damped nonlinear Schrödinger equations

$ i\partial_t u + \Delta u + i a u = \pm |u|^\alpha u, \quad (t,x) \in [0,\infty) \times \mathbb R^N, $

中文翻译：

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线性阻尼非线性薛定谔方程的爆破准则

我们考虑线性阻尼非线性薛定谔方程的柯西问题

$ i\partial_t u + \Delta u + iau = \pm |u|^\alpha u, \quad (t,x) \in [0,\infty) \times \mathbb R^N, $